Question

Line CD passes through points C(3, -5) And D(6, 0). What is the equation of line CD in standard form?

5x + 3y = 18
5x - 3y = 30
5x - y = 30
5x + y = 18

Answer 1

y = mx + b
m = (0 - -5)/(6 - 3) = 5/3
y = 5/3x + b
0 = 5/3(6) + b
b = -10
(y = 5/3x - 10)3
3y = 5x - 30
3y - 5x = -30
5x - 3y = 30

Answer 2

The equation of line CD in standard form is;

B: 5x - 3y = 30

Equation of a line

Formula for slope of line between two coordinates is;

m = (y2 - y1)/(x2 - x1)

Thus, slope of line CD is;

m = (0 - (-5))/(6 - 3)

m = 5/3

• Now, equation of a line in slope intercept form is; y = mx + c

c is y - intercept which is when x = 0.

Point D gives us the x-intercept because y is zero.

Thus;

0 = (5/3)(6) + c

c = -10

Thus, the equation of the line CD is;

y = (5/3)x - 10

Multiply through by 3 to get;

3y = 5x - 30

>> 5x - 3y = 30

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